P42bc No. 106 P42bc C4v8

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2); (3); (5)

General position

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates

 
8 c 1
(1) xyz(2) -x-yz(3) -yxz + 1/2(4) y-xz + 1/2
(5) x + 1/2-y + 1/2z(6) -x + 1/2y + 1/2z(7) -y + 1/2-x + 1/2z + 1/2(8) y + 1/2x + 1/2z + 1/2

I Maximal translationengleiche subgroups

[2] P4211 (77P42)1; 2; 3; 4
[2] P21c (37Ccc2)1; 2; 7; 8a - ba + bc 0, 1/2, 0
[2] P2b1 (32Pba2)1; 2; 5; 6

II Maximal klassengleiche subgroups

[3] c' = 3c

P42bc (106)<2; 5; 3 + (0, 0, 1)>ab, 3c

[p] c' = pc


P42bc (106)<2; 5; 3 + (0, 0, p/2 - 1/2)>abpc
 prime p > 2
no conjugate subgroups

[p2] a' = pa, b' = pb


P42bc (106)<2 + (2u, 2v, 0); 3 + (u + v, -u + v, 0); 5 + (p/2 - 1/2p/2 - 1/2 + 2v, 0)>papbcuv, 0
 prime p > 2; 0 ≤ u < p; 0 ≤ v < p
p2 conjugate subgroups

I Minimal translationengleiche supergroups

[2] P42/nbc (133); [2] P42/mbc (135)

II Minimal non-isomorphic klassengleiche supergroups

[2] C42mc (101, P42cm); [2] I4cm (108)
[2] c' = 1/2c  P4bm (100)








































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